jsaacmk
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How to prove an Abelian Group is not free?
jsaacmk replied to gunbuddy's topic in Linear Algebra and Group Theory
You need to work with the precise definition of your group to determine whether the abelian group is free or not. Your approach is appropriate since if there is no subset of Z5 that is a basis, then Z5 is not free. Do you care to share the abelian group you are working with?